Jadhav Prime Quadratic Theorem
In Mathematics, Jadhav's Prime Quadratic Theorem is based on Algebra and Number Theory. Discovered by an Indian Mathematician Jyotiraditya Jadhav. Stating a condition over the value of 
in the quadratic equation 
.
Theorem
It states that if a Quadratic Equation is divided by then it gives the answer as an Integer if and only if is equal to 1, Prime Factors and composite divisor of the constant 
.
Let the set of prime factors of constant term be represented as ![$p.f.[c]$](http://latex.artofproblemsolving.com/2/4/f/24f7db09513a1d0a18bbce3552e7378d9f3d9c7e.png)
and the set of all composite divisor of be ![$d[c]$](http://latex.artofproblemsolving.com/c/1/9/c19da214f0c45b9871099584d4d1264429895702.png)
Iff 
![$p.f.[c] \bigcup d[c] \bigcup {1}$](http://latex.artofproblemsolving.com/d/8/6/d86c886ce3ea5c8fc234dd32921f883078a728f7.png)
where 
.
Historical Note
Jyotiraditya Jadhav is a school-student and is always curious about numerical patterns which fall under the branch of Number Theory. He formulated many arithmetic based equations before too like Jadhav Theorem, Jadhav Triads, Jadhav Arithmetic Merging Equation and many more. While he was solving a question relating to Quadratic Equations he found out this numerical pattern and organized the theorem over it.
